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Finding the Fourth Proportional to 298.08, 447.16 and 230.02

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Solution

The fourth proportional to 298.08, 447.16 and 230.02 is: 345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.08 : 447.16 = 230.02 : x
  2. Step 2: Convert to fraction form
    298.08/447.16 = 230.02/x
  3. Step 3: Cross multiply
    298.08x = 447.16 × 230.02
  4. Step 4: Simplify right side
    298.08x = 102,855.74
  5. Step 5: Solve for x
    x = 102,855.74/298.08
  6. Step 6: Final answer
    x = 345.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.